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Finding the Fourth Proportional to 163.80, 225.88 and 101.56

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Solution

The fourth proportional to 163.80, 225.88 and 101.56 is: 140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.80 : 225.88 = 101.56 : x
  2. Step 2: Convert to fraction form
    163.80/225.88 = 101.56/x
  3. Step 3: Cross multiply
    163.80x = 225.88 × 101.56
  4. Step 4: Simplify right side
    163.80x = 22,940.37
  5. Step 5: Solve for x
    x = 22,940.37/163.80
  6. Step 6: Final answer
    x = 140.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.